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Finding the Fourth Proportional to 100,547.64, 150,821.46 and 41,341.80

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Solution

The fourth proportional to 100,547.64, 150,821.46 and 41,341.80 is: 62,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,547.64 : 150,821.46 = 41,341.80 : x
  2. Step 2: Convert to fraction form
    100,547.64/150,821.46 = 41,341.80/x
  3. Step 3: Cross multiply
    100,547.64x = 150,821.46 × 41,341.80
  4. Step 4: Simplify right side
    100,547.64x = 6,235,230,635.03
  5. Step 5: Solve for x
    x = 6,235,230,635.03/100,547.64
  6. Step 6: Final answer
    x = 62,012.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.